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Finding the Third Proportional to 1,688,868 and 3,446,496

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Solution

The third proportional to 1,688,868 and 3,446,496 is: 7,033,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,868 : 3,446,496 = 3,446,496 : x
  2. Step 2: Convert to fraction form
    1,688,868/3,446,496 = 3,446,496/x
  3. Step 3: Cross multiply
    1,688,868x = 3,446,496 × 3,446,496
  4. Step 4: Simplify right side
    1,688,868x = 11,878,334,678,016
  5. Step 5: Solve for x
    x = 11,878,334,678,016/1,688,868
  6. Step 6: Final answer
    x = 7,033,311.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.